Exact solutions for some modifications of the nonlinear Cahn–Hilliard equation

• Published in: Доповіді НАН України
• Date: 2013
• Main Authors: Mchedlov-Petrosyan, P.O., Kopiychenko, D.Yu.
• Format: Article
• Language: English
• Published: Видавничий дім "Академперіодика" НАН України 2013
• Subjects: Фізика
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/86714
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Exact solutions for some modifications of the nonlinear Cahn–Hilliard equation / P.O. Mchedlov-Petrosyan, D.Yu. Kopiychenko // Доповiдi Нацiональної академiї наук України. — 2013. — № 12. — С. 88–93. — Бібліогр.: 15 назв. — англ.

The exact travelling wave solutions for convective, higher-order convective, and convectiveviscous Cahn–Hilliard equations are obtained. Without any additional restrictions on the parameters, the solutions with non-zero propagation velocity exist only for an asymmetric potential.
 However, f...